15 citations · 19 across the 4 of their papers we have counts for
7 papers
Representative volume elements for matrix-inclusion composites -- a computational study on periodizing the ensemble
Matti Schneider, Marc Josien, Felix Otto
We investigate volume-element sampling strategies for the stochastic homogenization of particle-reinforced composites and show, via computational experiments, that an improper trea…
The annealed Calderon-Zygmund estimate as convenient tool in quantitative stochastic homogenization
Marc Josien, Felix Otto
This article is about the quantitative homogenization theory of linear elliptic equations in divergence form with random coefficients. We derive gradient estimates on the homogeniz…
Quantitative homogenization for the case of an interface between two heterogeneous media
Marc Josien, Claudia Raithel
In this article we are interested in quantitative homogenization results for linear elliptic equations in the non-stationary situation of a straight interface between two heterogen…
Precised approximations in elliptic homogenization beyond the periodic setting
Xavier Blanc, Marc Josien, Claude Le Bris
We consider homogenization problems for linear elliptic equations in divergence form. The coecients are assumed to be a local perturbation of some periodic background. We prove $W^…
Decomposition and pointwise estimates of periodic Green functions of some elliptic equations with periodic oscillatory coefficients
Marc Josien
This article is about the -periodic Green function of the multiscale elliptic operator , where …
From the Newton equation to the wave equation : the case of shock waves
Xavier Blanc, Marc Josien
We study the macroscopic limit of a chain of atoms governed by the Newton equation. It is known from the work of Blanc, Le Bris, Lions, that this limit is the solution of a nonline…